О накрытиях со специальными слоями и группой монодромии $S_{d}$

Ветро, Франческо; Vetro, Francesca

doi:10.4213/im7862

Известия Российской академии наук. Серия математическая

2012

DOI: 10.4213/im7862

|View full text |Cite

О накрытиях со специальными слоями и группой монодромии $S_{d}$

Франческо Ветро¹,

Francesca Vetro²

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2013

2014

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Covering semigroups

Куликов¹,

Kharlamov²

2013

Izv. Math.

View full text Add to dashboard Cite

International audienceWe introduce and study a semigroup structure on the set of irreducible components of the Hurwitz space of marked coverings of a complex projective curve with given Galois group of the coverings and fixed ramification type. As application, we give new conditions on the ramification type that are sufficient for irreducibil-ity of the Hurwitz spaces, suggest some bounds on the number of irreducibility components under certain more general conditions, and show that the number of irreducible components coincides with the number of topological classes of the coverings if the number of brunch points is big enough

show abstract

Covering semigroups

Куликов¹,

Kharlamov²

2013

Izv. Math.

View full text Add to dashboard Cite

show abstract

Полугруппы Накрытий

Куликов¹,

Kharlamov²,

Kharlamov³

2013

Известия Российской академии наук. Серия математическая

View full text Add to dashboard Cite

Вводится и изучается структура полугруппы на множестве неприводимых компонент пространства Гурвица отмеченных накрытий комплексной проективной кривой с заданной группой Галуа накрытий и фиксированным типом ветвлений. В качестве приложений даны новые условия для типа ветвлений, которые достаточны для неприводимости пространств Гурвица. Получены оценки числа неприводимых компонент при некоторых более общих условиях и показано, что число неприводимых компонент совпадает с числом топологических классов накрытий при условии, что число точек ветвления накрытий достаточно велико. Библиография: 20 наименований. Ключевые слова: неприводимые компоненты пространства Гурвица конечнолистных накрытий проективных кривых, полугруппы над группами.

show abstract

Irreducible components of Hurwitz spaces parameterizing Galois coverings of curves of positive genus

Kanev

2014

Pure and Applied Mathematics Quarterly

View full text Add to dashboard Cite

Given a smooth, projective curve Y of genus ≥ 1 and a finite group G, let H G n (Y ) be the Hurwitz space which parameterizes the G-equivalence classes of G-coverings of Y branched in n points. This space is a finiteétale covering of Y (n) \ Δ, where Δ is the big diagonal. In this paper we calculate explicitly the monodromy of this covering. This is an extension to curves of positive genus of a well known result in the case of Y ∼ = P 1 , and may be used for determining the irreducible components of H G n (Y ) in particular cases.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

О накрытиях со специальными слоями и группой монодромии $S_{d}$

Cited by 3 publications

References 15 publications

Covering semigroups

Covering semigroups

Полугруппы Накрытий

Irreducible components of Hurwitz spaces parameterizing Galois coverings of curves of positive genus

Contact Info

Product

Resources

About