Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Codogni, Giulio"'
Autor:
Codogni, Giulio, Lido, Guido
We consider finite graphs whose vertexes are supersingular elliptic curves, possibly with level structure, and edges are isogenies. They can be applied to the study of modular forms and to isogeny based cryptography. The main result of this paper is
Externí odkaz:
http://arxiv.org/abs/2308.13913
In this note we prove that the Torelli, Prym and Spin-Torelli morphisms, as well as covering maps between moduli stacks of projective curves can not be deformed. The proofs use properties of the Fujita decomposition of the Hodge bundle of families of
Externí odkaz:
http://arxiv.org/abs/2305.04525
Publikováno v:
Proceedings of the London Mathematical Society, Volume126, Issue 4, pages 1394 --1465, April 2023
We prove some higher dimensional generalizations of the slope inequality originally due to G. Xiao, and to M. Cornalba and J. Harris. We give applications to families of KSB-stable and K-stable pairs, as well as to the study of the ample cone of the
Externí odkaz:
http://arxiv.org/abs/2107.09553
Autor:
Codogni, Giulio, Patakfalvi, Zsolt
Publikováno v:
In proceeding: Cheltsov, I., Chen, X., Katzarkov, L., Park, J. (eds) Birational Geometry, K\"ahler--Einstein Metrics and Degenerations, 2019, Springer Proceedings in Mathematics \& Statistics, vol 409, page 195--203
In this short note, we give an alternative proof of the semipositivity of the Chow-Mumford line bundle for families of K-semistable log-Fano pairs, and of the nefness threeshold for the log-anti-canonical line bundle on families of K-stable log Fano
Externí odkaz:
http://arxiv.org/abs/2107.07902
Autor:
Codogni, Giulio, Krämer, Thomas
We show that the degree of Gauss maps on abelian varieties is semicontinuous in families, and we study its jump loci. As an application we obtain that in the case of theta divisors this degree answers the Schottky problem. Our proof computes the degr
Externí odkaz:
http://arxiv.org/abs/2010.00053
We give completely algebro-geometric proofs of a theorem by T. Shiota, and of a theorem by I. Krichever, characterizing Jacobians of algebraic curves among all irreducible principally polarized abelian varieties. Shiota's characterization is given in
Externí odkaz:
http://arxiv.org/abs/2009.14324
Autor:
Auffarth, Robert, Codogni, Giulio
Publikováno v:
J. of Algebra 548 (2020), 153-161
We construct families of principally polarized abelian varieties whose theta divisor is irreducible and contains an abelian subvariety. These families are used to construct examples when the Gauss map of the theta divisor is only generically finite a
Externí odkaz:
http://arxiv.org/abs/1912.10518
Publikováno v:
Alg. Number Th. 15 (2021) 1245-1281
The aim of this paper is to study some modular contractions of the moduli space of stable pointed curves. These new moduli spaces, which are modular compactifications of the moduli space of smooth pointed curves, are related with the minimal model pr
Externí odkaz:
http://arxiv.org/abs/1904.13212
Autor:
Codogni, Giulio
We associate to any holomorphic vertex algebra a collection of Teichm\"{u}ller modular forms, one in each genus. In genus one we obtain the character of the vertex algebra, and we thus reprove Zhu's modularity result. In higher genus, we prove that t
Externí odkaz:
http://arxiv.org/abs/1901.03079