Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Schaffler, Luca"'
Autor:
Gallardo, Patricio, Schaffler, Luca
The moduli space of hyperplanes in projective space has a family of geometric and modular compactifications that parametrize stable hyperplane arrangements with respect to a weight vector. Among these, there is a toric compactification that generaliz
Externí odkaz:
http://arxiv.org/abs/2405.09051
A classical result of von Staudt states that if eight planes osculate a twisted cubic curve and we divide them into two groups of four, then the eight vertices of the corresponding tetrahedra lie on a twisted cubic curve. In the current paper, we giv
Externí odkaz:
http://arxiv.org/abs/2404.03922
We describe a geometric, stable pair compactification of the moduli space of Enriques surfaces with a numerical polarization of degree 2, and identify it with a semitoroidal compactification of the period space.
Comment: v2: Title change, litera
Comment: v2: Title change, litera
Externí odkaz:
http://arxiv.org/abs/2312.03638
Brandhorst and Shimada described a large class of Enriques surfaces, called $(\tau,\overline{\tau})$-generic, for which they gave generators for the automorphism groups and calculated the elliptic fibrations and the smooth rational curves up to autom
Externí odkaz:
http://arxiv.org/abs/2309.14981
We consider the scheme $X_{r,d,n}$ parametrizing $n$ ordered points in projective space $\mathbb{P}^r$ that lie on a common hypersurface of degree $d$. We show that this scheme has a determinantal structure and we prove that it is irreducible, Cohen-
Externí odkaz:
http://arxiv.org/abs/2211.13177
Smooth minimal surfaces of general type with $K^2=1$, $p_g=2$, and $q=0$ constitute a fundamental example in the geography of algebraic surfaces, and the 28-dimensional moduli space $\mathbf{M}$ of their canonical models admits a modular compactifica
Externí odkaz:
http://arxiv.org/abs/2209.08877
We explore the maximum likelihood degree of a homogeneous polynomial $F$ on a projective variety $X$, $\mathrm{MLD}_F(X)$, which generalizes the concept of Gaussian maximum likelihood degree. We show that $\mathrm{MLD}_F(X)$ is equal to the count of
Externí odkaz:
http://arxiv.org/abs/2208.12560
Publikováno v:
Experimental Mathematics, 1-22, 2022
For an Enriques surface $S$, the non-degeneracy invariant $\mathrm{nd}(S)$ retains information on the elliptic fibrations of $S$ and its polarizations. In the current paper, we introduce a combinatorial version of the non-degeneracy invariant which d
Externí odkaz:
http://arxiv.org/abs/2202.01775
Autor:
Di Rocco, Sandra, Schaffler, Luca
The Losev-Manin moduli space parametrizes pointed chains of projective lines. In this paper we study a possible generalization to families of pointed degenerate toric varieties. Geometric properties of these families, such as flatness and reducedness
Externí odkaz:
http://arxiv.org/abs/2110.04842
Autor:
Schaffler, Luca, Tevelev, Jenia
Projective duality identifies the moduli spaces $\mathbf{B}_n$ and $\mathbf{X}(3,n)$ parametrizing linearly general configurations of $n$ points in $\mathbb{P}^2$ and $n$ lines in the dual $\mathbb{P}^2$, respectively. The space $\mathbf{X}(3,n)$ adm
Externí odkaz:
http://arxiv.org/abs/2010.03519