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pro vyhledávání: '"Dais, Dimitrios I."'
Autor:
Dais, Dimitrios I.
It is known that, adding the number of lattice points lying on the boundary of a reflexive polygon and the number of lattice points lying on the boundary of its polar, always yields 12. Generalising appropriately the notion of reflexivity, one shows
Externí odkaz:
http://arxiv.org/abs/1806.08351
Autor:
Dais, Dimitrios I., Markakis, Ioannis
Let $X_{P}$ be the projective toric surface associated to a lattice polytope $P$. If the number of lattice points lying on the boundary of $P$ is at least $4$, it is known that $X_{P}$ is embeddable into a suitable projective space as zero set of fin
Externí odkaz:
http://arxiv.org/abs/1705.06339
Autor:
Dais, Dimitrios I.
This paper focuses on the classification of all toric log Del Pezzo surfaces with exactly one singularity up to isomorphism, and on the description of how they are embedded as intersections of finitely many quadrics into suitable projective spaces.
Externí odkaz:
http://arxiv.org/abs/1705.06359
Autor:
Dais, Dimitrios I.
Toric log Del Pezzo surfaces with Picard number 1 have been completely classified whenever their index is $\le 2$: In this paper we extend the classification for those having index 3: We prove that, up to isomorphism, there are exactly 18 surfaces of
Externí odkaz:
http://arxiv.org/abs/0709.0999
Autor:
Dais, Dimitrios I., Nill, Benjamin
Publikováno v:
Archiv Math. 91 (2008), 526-535
In this paper we give an upper bound for the Picard number of the rational surfaces which resolve minimally the singularities of toric log Del Pezzo surfaces of given index $\ell$. This upper bound turns out to be a quadratic polynomial in the variab
Externí odkaz:
http://arxiv.org/abs/0707.4567
Autor:
Dais, Dimitrios I., Henk, Martin
Based on Nakajima's Classification Theorem we describe the precise form of the binomial equations which determine toric locally complete intersection ("l.c.i'') singularities.
Comment: Latex 2e, 31 pages, 3 eps figures, new version V2 (September
Comment: Latex 2e, 31 pages, 3 eps figures, new version V2 (September
Externí odkaz:
http://arxiv.org/abs/math/0204172
Autor:
Dais, Dimitrios I.
A necessary condition for the existence of torus-equivariant crepant resolutions of Gorenstein toric singularities can be derived by making use of a variant of the classical Upper Bound Theorem which is valid for simplicial balls.
Comment: Latex
Comment: Latex
Externí odkaz:
http://arxiv.org/abs/math/0110277
Autor:
Dais, Dimitrios I.
This paper surveys, in the first place, some basic facts from the classification theory of normal complex singularities, including details for the low dimensions 2 and 3. Next, it describes how the toric singularities are located within the class of
Externí odkaz:
http://arxiv.org/abs/math/0110278
Autor:
Dais, Dimitrios I., Roczen, Marko
The string-theoretic E-functions E_{str}(X;u,v) of normal complex varieties X having at most log-terminal singularities are defined by means of snc-resolutions. We give a direct computation of them in the case in which X is the underlying space of th
Externí odkaz:
http://arxiv.org/abs/math/0011117
Autor:
Dais, Dimitrios I.
Publikováno v:
manuscripta mathematica 105 (2001) 2, 143-174
An explicit computation of the so-called string-theoretic E-function of a normal complex variety X with at most log-terminal singularities can be achieved by constructing one snc-desingularization of X, accompanied with the intersection graph of the
Externí odkaz:
http://arxiv.org/abs/math/0011118