Birational geometry of irreducible holomorphic symplectic tenfolds of O'Grady type
G Mongardi, C Onorati - Mathematische Zeitschrift, 2022 - Springer
Birational geometry of irreducible holomorphic symplectic tenfolds of O’Grady type |
Mathematische Zeitschrift Skip to main content SpringerLink Account Menu Find a journal …
Mathematische Zeitschrift Skip to main content SpringerLink Account Menu Find a journal …
The generalized Franchetta conjecture for some hyper-Kähler varieties, II
We prove the generalized Franchetta conjecture for the locally complete family of hyper-
Kähler eightfolds constructed by Lehn–Lehn–Sorger–van Straten (LLSS). As a corollary, we …
Kähler eightfolds constructed by Lehn–Lehn–Sorger–van Straten (LLSS). As a corollary, we …
Elliptic quintics on cubic fourfolds, O'Grady 10, and Lagrangian fibrations
For a smooth cubic fourfold Y, we study the moduli space M of semistable objects of Mukai
vector 2 λ 1+ 2 λ 2 in the Kuznetsov component of Y. We show that with a certain choice of …
vector 2 λ 1+ 2 λ 2 in the Kuznetsov component of Y. We show that with a certain choice of …
The Hodge numbers of O'Grady 10 via Ngô strings
MAA de Cataldo, A Rapagnetta, G Saccà - Journal de Mathématiques …, 2021 - Elsevier
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Projectivity and birational geometry of Bridgeland moduli spaces on an Enriques surface
H Nuer - Proceedings of the London Mathematical Society, 2016 - academic.oup.com
We construct moduli spaces of semistable objects on an Enriques surface for generic
Bridgeland stability condition and prove their projectivity. We further generalize classical …
Bridgeland stability condition and prove their projectivity. We further generalize classical …
Birational geometry of the intermediate Jacobian fibration of a cubic fourfold
G Saccà - Geometry & Topology, 2023 - msp.org
We show that the intermediate Jacobian fibration associated to any smooth cubic fourfold X
admits a hyper-Kähler compactification J (X) with a regular Lagrangian fibration π: J→ ℙ 5 …
admits a hyper-Kähler compactification J (X) with a regular Lagrangian fibration π: J→ ℙ 5 …
On the monodromy group of desingularised moduli spaces of sheaves on K3 surfaces
C Onorati - arXiv preprint arXiv:2002.04129, 2020 - arxiv.org
arXiv:2002.04129v5 [math.AG] 24 Jun 2022 Page 1 arXiv:2002.04129v5 [math.AG] 24 Jun 2022
ON THE MONODROMY GROUP OF DESINGULARISED MODULI SPACES OF SHEAVES ON …
ON THE MONODROMY GROUP OF DESINGULARISED MODULI SPACES OF SHEAVES ON …
On the monodromy of irreducible symplectic manifolds
G Mongardi - arXiv preprint arXiv:1407.4269, 2014 - arxiv.org
Exploiting recent results on the ample cone of irreducible symplectic manifolds, we provide a
different point of view for the computation of their monodromy groups. In particular, we give …
different point of view for the computation of their monodromy groups. In particular, we give …
Formality conjecture for K3 surfaces
N Budur, Z Zhang - Compositio Mathematica, 2019 - cambridge.org
We give a proof of the formality conjecture of Kaledin and Lehn: on a complex projective K3
surface, the differential graded (DG) algebra polystable with respect to an ample line bundle …
surface, the differential graded (DG) algebra polystable with respect to an ample line bundle …
Wall-crossing implies Brill-Noether: applications of stability conditions on surfaces
A Bayer - Algebraic geometry: Salt Lake City, 2015 - books.google.com
Over the last few years, wall-crossing for Bridgeland stability conditions has led to a large
number of results in algebraic geometry, particular on birational geometry of moduli spaces …
number of results in algebraic geometry, particular on birational geometry of moduli spaces …