Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Lahoz, Martí"'
We show that for every g greater or equal than 5, the locus of Prym varieties in the moduli space of principally polarized abelian varieties of dimension g-1 that possess a pseudoreflection of geometric origin is the union of three different non-empt
Externí odkaz:
http://arxiv.org/abs/2412.04940
The Prym map $\mathcal{P}_6$ in genus 6 is dominant and generically finite of degree 27. When restricted to the divisor of curves with an odd semicanonical pencil $\mathcal{T}_6^o$, it is still generically finite, but of degree strictly smaller. In t
Externí odkaz:
http://arxiv.org/abs/2407.13443
In the moduli space $\mathcal{R}_g$ of double \'etale covers of curves of a fixed genus $g$, the locus formed by covers of curves with a semicanonical pencil consists of two irreducible divisors $\mathcal T^e_g$ and $\mathcal T^o_g$. We study the Pry
Externí odkaz:
http://arxiv.org/abs/2106.08683
Autor:
Lahoz, Martí, Rojas, Andrés
We introduce Chern degree functions for complexes of coherent sheaves on a polarized surface, which encode information given by stability conditions on the boundary of the $(\alpha, \beta)$-plane. We prove that these functions extend to continuous re
Externí odkaz:
http://arxiv.org/abs/2105.03263
Autor:
Caucci, Federico, Lahoz, Martí
We prove that the kernel of the evaluation morphism of global sections - namely the syzygy bundle - of a sufficiently ample line bundle on an abelian variety is stable. This settles a conjecture of Ein-Lazarsfeld-Mustopa, in the case of abelian varie
Externí odkaz:
http://arxiv.org/abs/2007.08846
Publikováno v:
Publ. Math. IHES 133, 157-325 (2021)
We develop a theory of Bridgeland stability conditions and moduli spaces of semistable objects for a family of varieties. Our approach is based on and generalizes previous work by Abramovich-Polishchuk, Kuznetsov, Lieblich, and Piyaratne-Toda. Our no
Externí odkaz:
http://arxiv.org/abs/1902.08184
We introduce a general method to induce Bridgeland stability conditions on semiorthogonal components of triangulated categories. In particular, we prove the existence of Bridgeland stability conditions on the Kuznetsov component of the derived catego
Externí odkaz:
http://arxiv.org/abs/1703.10839
Autor:
Lahoz, Martí1 (AUTHOR), Naranjo, Juan Carlos1 (AUTHOR), Rojas, Andrés1,2 (AUTHOR) arojas@math.uni-bonn.de
Publikováno v:
Mathematische Nachrichten. Jul2023, Vol. 296 Issue 7, p2918-2941. 24p.
We revisit the work of Lehn-Lehn-Sorger-van Straten on twisted cubic curves in a cubic fourfold not containing a plane in terms of moduli spaces. We show that the blow-up $Z'$ along the cubic of the irreducible holomorphic symplectic eightfold $Z$, d
Externí odkaz:
http://arxiv.org/abs/1609.04573
Publikováno v:
Geom. Topol. 21 (2017) 1095-1130
We study normal compact K\"ahler spaces whose rational cohomology ring is isomorphic to that of a complex torus. We call them rational cohomology tori. We classify, up to dimension three, those with rational singularities. We then give constraints on
Externí odkaz:
http://arxiv.org/abs/1509.01043