Zobrazeno 1 - 10
of 226
pro vyhledávání: '"A. Melle-Hernández"'
We discuss the universal orbifold Euler characteristic and generalized orbifold Euler characteristics corresponding to finitely generated groups $A$ (the $A$-Euler characteristics). We show that the collection of all $A$-Euler characteristics for $A$
Externí odkaz:
http://arxiv.org/abs/2405.08426
We define a Grothendieck ring of pairs of complex quasi-projective varieties (that is a variety and a subvariety). We describe $\lambda$-structures and a power structure on/over this ring. We show that the conjectual symmetric power of the projective
Externí odkaz:
http://arxiv.org/abs/2308.10986
Publikováno v:
Symmetry, Vol 11, Iss 7, p 902 (2019)
The notion of the orbifold Euler characteristic came from physics at the end of the 1980s. Coincidence (up to sign) of the orbifold Euler characteristics is a necessary condition for crepant resolutions of orbifolds to be mirror symmetric. There were
Externí odkaz:
https://doaj.org/article/c5011ea8987d4c8cb29ddc1644195572
The notion of the orbifold Euler characteristic came from physics at the end of 80's. There were defined higher order versions of the orbifold Euler characteristic and generalized ("motivic") versions of them. In a previous paper the authors defined
Externí odkaz:
http://arxiv.org/abs/1906.01920
In this paper we give a positive answer to a question of Dimca and Greuel about the quotient between the Milnor and the Tjurina numbers for any irreducible germ of plane curve singularity. This result is based on a closed formula for the minimal Tjur
Externí odkaz:
http://arxiv.org/abs/1904.02652
In 1982, Tamaki Yano proposed a conjecture predicting how is the set of $b$-exponents of an irreducible plane curve singularity germ which is generic in its equisingularity class. In 1986, Pi.~Cassou-Nogu\`es proved the conjecture for the one Puiseux
Externí odkaz:
http://arxiv.org/abs/1805.01166
The Euler characteristic is the only additive topological invariant for spaces of certain sort, in particular, for manifolds with some finiteness properties. A generalization of the notion of a manifold is the notion of a V-manifold. Here we discuss
Externí odkaz:
http://arxiv.org/abs/1804.08385
We define a Grothendieck ring of varieties with finite groups actions and show that the orbifold Euler characteristic and the Euler characteristics of higher orders can be defined as homomorphisms from this ring to the ring of integers. We describe t
Externí odkaz:
http://arxiv.org/abs/1706.00918
In 1982, Tamaki Yano proposed a conjecture predicting the set of b-exponents of an irreducible plane curve singularity germ which is generic in its equisingularity class. In \cite{ACLM-Yano2} we proved the conjecture for the case in which the germ ha
Externí odkaz:
http://arxiv.org/abs/1611.01091
A power structure over a ring is a method to give sense to expressions of the form $(1+a_1t+a_2t^2+\ldots)^m$, where $a_i$, $i=1, 2,\ldots$, and $m$ are elements of the ring. The (natural) power structure over the Grothendieck ring of complex quasi-p
Externí odkaz:
http://arxiv.org/abs/1609.08452