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Research and publications
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Here you can find my profiles on arXiv,
MathSciNet,
ORCID,
Publons,
Scopus and
Scholar.
Editorial duties
I am the editor in chief of Rendiconti di Matematica e delle sue Applicazioni. If you intend to submit a paper please follow these instructions.
I am an editor of the Annali di Matematica Pura ed Applicata. If you intend to submit a paper please make your submission online.
Old and new research interests in Mathematics
Algebraic surfaces and their moduli. Topological and differential
classification of complex surfaces.
Deformation theory. Automorphisms of algebraic varieties. Singularities. Hilbert
schemes and moduli spaces. Extended moduli spaces. Differential graded
Lie algebras and L∞ structures.
Research papers
(in reverse chronological order)
- Bandiera, R., Lepri, E., Manetti, M.: Semiregularity maps and deformations of modules over Lie algebroids.
arXiv:2208.00694.
- R. Bandiera, E. Lepri, M. Manetti: L∞ liftings of semiregularity maps via Chern-Simons classes. Advances in Mathematics \textbf{435} (2023) 109358,
arXiv:2111.12985.
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R. Bandiera, M. Manetti, F. Meazzini: Deformations of polystable sheaves on surfaces: quadraticity implies formality. Moscow Mathematical Journal 22 (2022), 239--263;
arXiv:1902.06486.
- E. Lepri, M. Manetti: Connections and L∞ liftings of semiregularity maps. Journal of Geometry and Physics 168 (2021) 104303,
arXiv:2102.05016 .
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R. Bandiera, M. Manetti, F. Meazzini: Formality conjecture for minimal surfaces of Kodaira dimension 0.
Compositio Mathematica 157 (2021) 215-235.
DOI: 10.1112/S0010437X20007605,
arXiv:1907.10690 .
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D. Iacono, M. Manetti: Homotopy abelianity of the DG-Lie algebra controlling deformations of pairs (variety with trivial canonical bundle, line bundle) . International Journal of Mathematics Vol. 32, No. 11, 2150086 (2021)
arXiv:1902.10386.
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E. Lepri, M. Manetti: On deformations of diagrams of commutative algebras. In: E. Colombo et al. (eds.), Birational Geometry and Moduli Spaces, Springer INdAM Series \textbf{39} (2020), 77-107.
arXiv:1902.10436.
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M. Manetti, F. Meazzini: Deformations of algebraic schemes via Reedy-Palamodov cofibrant resolutions. Indag. Math. 31 (2020), 7-32;
DOI: 10.1016/j.indag.2019.08.007,
arXiv:1810.08570.
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F. Carocci, M. Manetti: Endomorphisms of Koszul complexes: formality and application to deformation theory.
Rend. Circ. Mat. Palermo, Series 2 (2020) 69: 175-193.
DOI: 10.1007/s12215-018-00394-w,
arXiv:1802.07203.
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D. Iacono and M. Manetti: On the adjoint map of homotopy abelian DG-Lie algebras.
Archivum Mathematicum (BRNO) Tomus 55, 7-15 (2019) .
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M. Manetti, F. Meazzini: Formal deformation theory in left-proper model categories. New York J. Math. Volume 25 (2019), 1259-1311 -
arXiv:1802.06707.
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D. Iacono and M. Manetti: On deformations of pairs (manifold, coherent sheaf). Canad. J. Math. 71, 1209-1241 (2019)
DOI: 10.4153/CJM-2018-027-8,
arXiv:1707.06612.
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D. Fiorenza and M. Manetti: Formal Abel-Jacobi maps. International Mathematics Research Notices, Vol. 2020, No. 4, pp. 1035-1090.
DOI: 10.1093/imrn/rny041,
arXiv:1610.08684.
- R. Bandiera, M. Manetti:
Algebraic models of local period maps and Yukawa algebras.
Letters in Mathematical Physics 108 (2018) 2055-2097,
DOI: 10.1007/s11005-018-1064-1,
arXiv:1506.05753.
- M. Manetti:
Uniqueness and intrinsic properties of non-commutative Koszul brackets.
J. Homotopy Relat. Struct. 12 (2017) , 487Ð509;
DOI: 10.1007/s40062-016-0136-0,
arXiv:1512.05480.
- M. Manetti, G. Ricciardi:
Universal Lie formulas for higher antibrackets. SIGMA 12 (2016), 053, 20 pages,
DOI: 10.3842/SIGMA.2016.053,
arXiv:1509.09032.
- M. Manetti:
On some formality criteria for DG-Lie algebras. J. Algebra 438 (2015), 90 - 118;
DOI 10.1016/j.jalgebra.2015.04.029,
arXiv:1310.3048.
- R. Bandiera, M. Manetti:
On coisotropic deformations of holomorphic submanifolds. J. Math. Sci. Univ. Tokyo 22 (2015) (Kodaira centennial issue), 1-37.
arXiv:1301.6000.
- M. Manetti:
Kodaira-Spencer formality of products of complex manifolds. In Trends in Contemporary Mathematics, Springer INdAM Series 8 (2014), 85-95;
DOI 10.1007/978-3-319-05254-0_7; PDF.
- D. Iacono, M. Manetti:
Semiregularity and obstructions of complete intersections. Advances in Mathematics 235 (2013) 92-125.
doi:10.1016/j.aim.2012.11.011;
arXiv:1112.0425.
- D. Fiorenza, M. Manetti:
Formality of Koszul brackets and deformations of holomorphic Poisson manifolds.
Homology, Homotopy and Applications, Vol. 14 (2012), No. 2, pp.63-75.
DOI: 10.4310/HHA.2012.v14.n2.a4;
arXiv:1109.4309.
- D. Iacono, M. Manetti:
Posetted trees and Baker-Campbell-Hausdorff product. Mediterr. J. Math. 10 (2013), 611-623;
DOI 10.1007/s00009-012-0235-z;
arXiv:1106.4685.
- M. Manetti:
On some examples of obstructed
irregular surfaces. Sci. China Math. 54 (2011) 1713-1724.
DOI: 10.1007/s11425-011-4248-z;
- M. Manetti:
A relative version of the ordinary perturbation lemma. Rend. Mat. Appl. (7) 30 (2010) 221-238;
arXiv:1002.0683.
- D. Iacono, M. Manetti:
An algebraic proof of Bogomolov-Tian-Todorov theorem. In Deformation Spaces. vol. 39, p. 113-133, Vieweg Verlag,
(2010) ISBN 978-3-8348-1271-1; DOI: 10.1007/978-3-8348-9680-3_5;
arXiv:0902.0732.
- D. Fiorenza, M. Manetti, E. Martinengo:
Cosimplicial DGLAs in deformation theory. Communications in Algebra
Vol. 40, Iss. 6, 2012; DOI: 10.1080/00927872.2011.577479;
arXiv:0803.0399.
- D. Fiorenza, M. Manetti:
A period map for generalized deformations.
Journal of Noncommutative Geometry 3 (2009) 579-597; DOI: 10.4171/JNCG/47;
arXiv:0808.0140.
- M. Manetti: Differential graded Lie algebras and formal deformation theory. In Algebraic Geometry: Seattle 2005.
Proc. Sympos. Pure Math. 80 (2009) 785-810. PDF
- M. Manetti: Smoothings
of singularities and deformation types of surfaces.
In Symplectic 4-Manifolds and Algebraic Surfaces, Springer lecture notes in Mathematics 1938 (2008) 196-230.
- D. Fiorenza, M. Manetti:
L-infinity structures on mapping cones. Algebra Number
Theory 1 (2007) 301-330; DOI: 10.2140/ant.2007.1.301;
arXiv:math/0601312.
- M. Manetti: Lie description of higher
obstructions to deforming submanifolds. Ann. Sc. Norm. Super. Pisa Cl. Sci. 6 (2007) 631-659;
DOI: 10.2422/2036-2145.2007.4.06;
arXiv:math/0507287.
- M. Manetti: Lectures on deformations of complex manifolds.
Rend. Mat. Appl. (7) 24 (2004) 1-183 pdf
arXiv:math/0507286.
- M. Manetti: Cohomological
costraint to deformations of compact Kaehler manifolds.
Adv. Math. 186 (2004) 125-142;
DOI: 10.1016/j.aim.2003.07.010;
arXiv:math/0105175
- M. Manetti: Surfaces of Albanese General
type and the Severi conjecture. Math. Nachr. 261-262 (2003) 105-122;
DOI: 10.1002/mana.200310115;
arXiv:math/0003006.
- M. Manetti: Extended deformation functors.
Int. Math. Res. Not. 14 (2002) 719-756;
DOI: 10.1155/S1073792802008024;
arXiv:math/9910071.
- M. Manetti: Deformation theory via differential graded
Lie algebras. Seminari
di Geometria Algebrica 1998-1999, Scuola Normale Superiore (1999)
PDF
- M. Manetti: On the moduli space of diffeomorphic algebraic surfaces.
Invent. Math. 143 (2001) 29-76.
DOI: 10.1007/s002220000101;
arXiv:math/9802088.
- B. Fantechi, M. Manetti: On the $T^1$-lifting theorem.
J. Algebraic Geom. 8 (1999) 31-39, PDF
- M. Manetti: Degenerate double covers of the projective
plane. New
trends in algebraic geometry, Cambridge Univ. Press. (1999).
- B. Fantechi, M. Manetti: Obstruction calculus for functors
of Artin rings, I. J. Algebra 202 (1998) 541-576.
DOI: 10.1006/jabr.1997.7239;
- M. Manetti: Automorphisms of generic cyclic covers.
Revista Matematica de la Universidad Complutense de Madrid 10 (1997)
149-156.
PDF
- M. Manetti: Algebraization of analytic curve germs passing
through isolated surface singularities. Arch. Math. (Basel) 66 (1996)
428-440.
- M. Manetti: Iterated double covers and connected components
of moduli spaces. Topology 36 (1996) 745-764.
DOI: 10.1016/S0040-9383(96)00026-2;
- M. Manetti: On smooth curves passing through rational
surface singularities. Mathematische Zeitschrift 218 (1995) 375-386.
DOI: 10.1007/BF02571910;
- M. Manetti: On some components of Moduli Space of Surfaces
of general type. Compositio Mathematica 92 (1994) 285-297.
- M. Manetti: Normal projective surfaces with $\varrho=1$,
$P_{-1}\ge 5$. Rend. Sem. Mat. Univ. Padova 89 (1993) 195-205.
- M. Manetti: Normal degenerations of the complex projective
plane. J. reine angew. Math. 419 (1991) 89-118.
DOI: 10.1515/crll.1991.419.89;
Expository papers
- M. Manetti: Nullstellensatz per tutti.
Ricordando Franco Conti, Pubbl. Cent. Ric. Mat. Ennio Giorgi,
Scuola Norm. Sup., Pisa (2004) 235-244.
- M. Manetti: A proof of a version of a theorem of Hartogs.
American Mathematical Monthly, Volume 117, Number 6, June-July 2010 , pp. 550-552.
DOI: 10.4169/000298910X492844;
Books
Other (thesis, books edited etc).
- M. Manetti: Degenerations of Algebraic Surfaces and applications
to Moduli problems. Tesi di Perfezionamento Scuola Normale Superiore (1996).
PDF
- K. Behrend, M. Manetti (editors): Enumerative invariants in algebraic geometry and string theory. Lecture Notes in Mathematics 1947 Springer (2008).
Preprints superseded by other articles or not intended for publication.
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M. Manetti and C. Spagnoli: The projective model structure on contractions.
arXiv:1703.03231.
- D. Fiorenza, M. Manetti:
L-infinity algebras, Cartan homotopies and period maps.
arXiv:math/0605297.
- M. Manetti:
Deformations of products and new examples of obstructed irregular surfaces.
arXiv:math/0601169.
- M. Manetti: Q-Gorenstein smoothings of quotient singularities.
Preprint Scuola Normale Superiore Pisa (1990). PDF
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