Zobrazeno 1 - 10
of 320
pro vyhledávání: '"A Grushevsky"'
We determine the maximal dimension of compact subvarieties of $\mathcal{A}_g$, the moduli space of complex principally polarized abelian varieties of dimension $g$, and the maximal dimension of a compact subvariety through a very general point of $\m
Externí odkaz:
http://arxiv.org/abs/2404.06009
We present a complete computation of superstring scattering amplitudes at tree level, for the case of Neveu-Schwarz insertions. Mathematically, this is to say that we determine explicitly the superstring measure on the moduli space $\mathcal{M}_{0,n,
Externí odkaz:
http://arxiv.org/abs/2403.09600
We determine the cones of effective and nef divisors on the toroidal compactification of the ball quotient model of the moduli space of complex cubic surfaces with a chosen line. From this we also compute the corresponding cones for the moduli space
Externí odkaz:
http://arxiv.org/abs/2312.15369
We study various naturally defined subvarieties of the moduli space ${\mathcal A}_g$ of complex principally polarized abelian varieties (ppav) in a neighborhood of the locus of products of $g$ elliptic curves. In this neighborhood, we obtain a local
Externí odkaz:
http://arxiv.org/abs/2307.05238
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 9, Pp 1-32 (2024)
Abstract We present a complete computation of superstring scattering amplitudes at tree level, for the case of Neveu-Schwarz insertions. Mathematically, this is to say that we determine explicitly the superstring measure on the moduli space M 0 , n ,
Externí odkaz:
https://doaj.org/article/011a71e69f004425abe7e3cec2d3fb26
Multi-scale differentials are constructed in [BCGGM3], from the viewpoint of flat and complex geometry, for the purpose of compactifying moduli spaces of curves together with a differential with prescribed orders of zeros and poles. Logarithmic diffe
Externí odkaz:
http://arxiv.org/abs/2212.04704
We study the cone of moving divisors on the moduli space ${\mathcal A}_g$ of principally polarized abelian varieties. Partly motivated by the generalized Rankin-Cohen bracket, we construct a non-linear holomorphic differential operator that sends Sie
Externí odkaz:
http://arxiv.org/abs/2207.04139
Publikováno v:
Nagoya Math. J. 254 (2024), 315-365
The moduli space of complex cubic surfaces has three different, but isomorphic, compact realizations: as a GIT quotient, as a Baily--Borel compactification of a ball quotient, and as a compactified $K$-moduli space. From all three perspectives, there
Externí odkaz:
http://arxiv.org/abs/2207.03533
Publikováno v:
Geom. Topol. 26 (2022) 2773-2830
For a linear subvariety $M$ of a stratum of meromorphic differentials, we investigate its closure in the multi-scale compactification constructed by Bainbridge-Chen-Gendron-Grushevsky-M\"oller. We prove various restrictions on the type of defining li
Externí odkaz:
http://arxiv.org/abs/2011.11664
Autor:
Grushevsky, Samuel, Hulek, Klaus
We determine five extremal effective rays of the four-dimensional cone of effective surfaces on the toroidal compactification $\overline{\mathcal A}_3$ of the moduli space ${\mathcal A}_3$ of complex principally polarized abelian threefolds, and we c
Externí odkaz:
http://arxiv.org/abs/2007.02995