Zobrazeno 1 - 10
of 10
pro vyhledávání: '"14L30, 14J26"'
Autor:
Hausen, Jürgen, Király, Katharina
We give an explicit description of all quasismooth, rational, projective surfaces of Picard number one that admit a non-trivial torus action and have an integral canonical self intersection number.
Comment: 38 pages
Comment: 38 pages
Externí odkaz:
http://arxiv.org/abs/2411.15079
The Markov triples, that means the positive integer solutions of the equation $x^2+y^2+z^2=3xyz$, form the vertex set of the Markov tree. Each Markov triple defines a weighted projective plane, which gives a geometric interpretation of the vertex. We
Externí odkaz:
http://arxiv.org/abs/2405.04862
Autor:
Hausen, Jürgen, Király, Katharina
A full intrinsic quadric is a normal complete variety with a finitely generated Cox ring defined by a single quadratic relation of full rank. We describe all surfaces of this type explicitly via local Gorenstein indices. As applications, we present u
Externí odkaz:
http://arxiv.org/abs/2310.08293
We consider two classes of non-toric log del Pezzo $\mathbb{C}^*$-surfaces: on the one side the 1/3-log canonical ones and on the other side those of Picard number one and Gorenstein index at most 65. In each of the two classes we figure out the surf
Externí odkaz:
http://arxiv.org/abs/2306.03796
We consider log del Pezzo surfaces coming with a non-trivial torus action. Such a surface is 1/k-log canonical if it allows a resolution of singularities with discrepanies all greater or equal to 1/k-1. We provide a concrete classification algorithm
Externí odkaz:
http://arxiv.org/abs/2302.03095
Autor:
Hausen, Juergen, Hummel, Timo
We consider possibly singular rational projective k*-surfaces and provide an explicit description of the unit component of the automorphism group in terms of isotropy group orders and intersection numbers of suitable invariant curves. As an applicati
Externí odkaz:
http://arxiv.org/abs/2010.06414
Let $X$ be a complex projective manifold, $L$ an ample line bundle on $X$, and assume that we have a $\mathbb{C}^*$ action on $(X,L)$. We classify such triples $(X,L,\mathbb{C}^*)$ for which the closure of a general orbit of the $\mathbb{C}^*$ action
Externí odkaz:
http://arxiv.org/abs/1904.01896
Autor:
Duncan, Alexander
A variety X with an action of a finite group G is said to be G-unirational if there is a G-equivariant dominant rational map V -> X where V is a faithful linear representation of G. This generalizes the usual notion of unirationality. We determine wh
Externí odkaz:
http://arxiv.org/abs/1410.8434
Autor:
Duncan, Alexander
Publikováno v:
Comment. Math. Helv. Volume 88, Issue 3, 2013, pp. 555-585
We classify all finite groups of essential dimension 2 over an algebraically closed field of characteristic 0.
Comment: 30 pages (To appear in Commentarii Mathematici Helvetici)
Comment: 30 pages (To appear in Commentarii Mathematici Helvetici)
Externí odkaz:
http://arxiv.org/abs/0912.1644
Autor:
Alexander Duncan
Publikováno v:
Commentarii Mathematici Helvetici. 88:555-585
We classify all finite groups of essential dimension 2 over an algebraically closed field of characteristic 0.
Comment: 30 pages (To appear in Commentarii Mathematici Helvetici)
Comment: 30 pages (To appear in Commentarii Mathematici Helvetici)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59376eff0d9bf8ba7520122c10a3d839
https://doi.org/10.4171/cmh/296
https://doi.org/10.4171/cmh/296
