Výsledky vyhledávání - "VERRA, Alessandro"

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Autor: Ciliberto, Ciro, verra, Alessandro

Let $X$ be a general cubic hypersurface in $\mathbb P^4$. If $x\in X$ is a general point there are exactly six distinct lines in $X$ passing through $x$, that lie on the rank 3 quadric cone with vertex $x$ of lines that have intersection multiplicity

Externí odkaz: http://arxiv.org/abs/2409.12542

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On the variety of tritangential planes to a general K3 surface of degree 6 and genus 4 in $\mP^4$

Autor: Ciliberto, Ciro, Verra, Alessandro

Let $S\subset \mP^4$ be a general K3 surface of degree 6 and genus 4. In this paper we study the irreducible variety $X_S$ of \emph{tritangential planes} to $S$ whose general point is a plane that intersects $S$ in a curvilinear scheme of length six

Externí odkaz: http://arxiv.org/abs/2406.00822

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(Uni)rational parametrizations of $\mathcal R_{g,2}$, $\mathcal R_{g,4}$ and $\mathcal R_{g,6}$ in low genera

Autor: Lelli-Chiesa, Margherita, Knutsen, Andreas Leopold, Verra, Alessandro

The moduli space R_{g,2n} parametrizes double covers of smooth curves of genus g ramified at 2n points. We will prove the (uni)rationality of R_{g,2}, R_{g,4} and R_{g,6} in low genera.
Comment: 26 pages, comments are very welcome!

Externí odkaz: http://arxiv.org/abs/2310.16635

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The uniruledness of the Prym moduli space of genus 9

Autor: Farkas, Gavril, Verra, Alessandro

We show that the moduli space R_9 of Prym curves of genus 9 is uniruled. This is the largest genus g for which R_g has negative Kodaira dimension.
Comment: 17 pages. Final version, to appear in Advances in Mathematics

Externí odkaz: http://arxiv.org/abs/2310.09084

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On deformations of the surfaces of bitangents to smooth quartic surfaces in $\mP^3$

Autor: Ciliberto, Ciro, Verra, Alessandro, Zucconi, Francesco

We prove that the surface $S(X)$ of bitangent lines of a general smooth quartic surface $X$ in $\mP^3$ has unobstructed deformations of dimension $20=h^1(S(X), T_{S(X)})$. In addition, we show that the space of infinitesimal embedded deformations of

Externí odkaz: http://arxiv.org/abs/2305.17658

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From Enriques surface to Artin-Mumford counterexample

Autor: Verra, Alessandro

After an Introduction to the themes of Enriques surfaces and Rationality questions, the Artin-Mumford counterexample to Lueroth problem is revisited. A construction of it is given, which is related in an explicit way to the geometry of Enriques surfa

Externí odkaz: http://arxiv.org/abs/2211.01509

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Varieties of Nodal surfaces, coding theory and Discriminants of cubic hypersurfaces. Part 1: Generalities and nodal K3 surfaces. Part 2: Cubic Hypersurfaces, associated discriminants. Part 3: Nodal quintics. Part 4: Nodal sextics

Autor: Catanese, Fabrizio, Cho, in collaboration with Yonghwa, Coughlan, Stephen, Frapporti, Davide, Verra, Alessandro, Kiermaier, Michael, Kurz, Sascha

We attach two binary codes to a projective nodal surface (the strict code K and, for even degree d, the extended code K' ) to investigate the `Nodal Severi varieties F(d, n) of nodal surfaces in P^3 of degree d and with n nodes, and their incidence h

Externí odkaz: http://arxiv.org/abs/2206.05492

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Views on level $\mathit \ell$ curves, K3 surfaces and Fano threefolds

Autor: Garbagnati, Alice, Verra, Alessandro

An analogue of the Mukai map $m_g: \mathcal P_g \to \mathcal M_g$ is studied for the moduli $\mathcal R_{g, \ell}$ of genus $g$ curves $C$ with a level $\ell$ structure. Let $\mathcal P^{\perp}_{g, \ell}$ be the moduli space of $4$-tuples $(S, \mathc

Externí odkaz: http://arxiv.org/abs/2108.12215

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