On the finite dimensionality of a K3 surface
C Pedrini - Manuscripta Mathematica, 2012 - Springer
For a smooth projective surface X the finite dimensionality of the Chow motive h (X), as
conjectured by Kimura, has several geometric consequences. For a complex surface of …
conjectured by Kimura, has several geometric consequences. For a complex surface of …
Moduli of theta-characteristics via Nikulin surfaces
G Farkas, A Verra - Mathematische Annalen, 2012 - Springer
We study moduli spaces of K 3 surfaces endowed with a Nikulin involution and their image
in the moduli space R g of Prym curves of genus g. We observe a striking analogy with …
in the moduli space R g of Prym curves of genus g. We observe a striking analogy with …
[HTML][HTML] Prym varieties and moduli of polarized Nikulin surfaces
G Farkas, A Verra - Advances in Mathematics, 2016 - Elsevier
We present a structure theorem for the moduli space R 7 of Prym curves of genus 7 as a
projective bundle over the moduli space of 7-nodal rational curves. The existence of this …
projective bundle over the moduli space of 7-nodal rational curves. The existence of this …
The generic Green–Lazarsfeld secant conjecture
Using lattice theory on special K3 K 3 surfaces, calculations on moduli stacks of pointed
curves and Voisin's proof of Green's Conjecture on syzygies of canonical curves, we prove …
curves and Voisin's proof of Green's Conjecture on syzygies of canonical curves, we prove …
KUMMER SURFACES AND K3 SURFACES WITH (ℤ/2ℤ) ⁴ SYMPLECTIC ACTION
A Garbagnati, A Sarti - The Rocky Mountain Journal of Mathematics, 2016 - JSTOR
In the first part of this paper we give a survey of classical results on Kummer surfaces with
Picard number 17 from the point of view of lattice theory. We prove ampleness properties for …
Picard number 17 from the point of view of lattice theory. We prove ampleness properties for …
On K3 surface quotients of K3 or Abelian surfaces
A Garbagnati - Canadian Journal of Mathematics, 2017 - cambridge.org
On K3 Surface Quotients of K3 or Abelian Surfaces Page 1 Canad. J. Math. Vol. (), pp. – http://dx.doi.org/.
/CJM-- ©Canadian Mathematical Society On K3 Surface Quotients of K3 or Abelian Surfaces …
/CJM-- ©Canadian Mathematical Society On K3 Surface Quotients of K3 or Abelian Surfaces …
Order 3 symplectic automorphisms on K3 surfaces
A Garbagnati, Y Prieto Montañez - Mathematische Zeitschrift, 2022 - Springer
The aim of this paper is to generalize results known for the symplectic involutions on K3
surfaces to the order 3 symplectic automorphisms on K3 surfaces. In particular, we will …
surfaces to the order 3 symplectic automorphisms on K3 surfaces. In particular, we will …
Moduli of non-standard Nikulin surfaces in low genus
AL Knutsen, M Lelli-Chiesa, A Verra - arXiv preprint arXiv:1802.01201, 2018 - arxiv.org
Primitively polarized genus $ g $ Nikulin surfaces $(S, M, H) $ are of two types, that we call
standard and non-standard depending on whether the lattice embedding $\mathbb …
standard and non-standard depending on whether the lattice embedding $\mathbb …
Green's conjecture for general covers
Green’s conjecture for general covers Page 222 Contemporary Mathematics Volume 564 ,
2012 http://dx. doi. org/10.1090/conm/564/11147 Green’s conjecture for general covers Marian …
2012 http://dx. doi. org/10.1090/conm/564/11147 Green’s conjecture for general covers Marian …
Projective models of Nikulin orbifolds
C Camere, A Garbagnati, G Kapustka… - arXiv preprint arXiv …, 2021 - arxiv.org
We study projective fourfolds of $ K3^{[2]} $-type with a symplectic involution and the
deformations of their quotients, called orbifolds of Nikulin types; they are IHS orbifolds. We …
deformations of their quotients, called orbifolds of Nikulin types; they are IHS orbifolds. We …