Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Asymptotic purity for very general hypersurfaces of ℙn × ℙn of bidegree (k, k)

100%

Burr M.

Open Mathematics

2012

tom 10

nr 2

530-542

For a complex irreducible projective variety, the volume function and the higher asymptotic cohomological functions have proven to be useful in understanding the positivity of divisors as well as other geometric properties of the variety. In this paper, we study the vanishing properties of these functions on hypersurfaces of ℙn × ℙn. In particular, we show that very general hypersurfaces of bidegree (k, k) obey a very strong vanishing property, which we define as asymptotic purity: at most one asymptotic cohomological function is nonzero for each divisor. This provides evidence for the truth of a conjecture of Bogomolov and also suggests some general conditions for asymptotic purity.

Stable cohomology of alternating groups

81%

Bogomolov F., Böhning C.

Open Mathematics

2014

tom 12

nr 2

212-228

We determine the stable cohomology groups ($$H_S^i \left( {{{\mathfrak{A}_n ,\mathbb{Z}} \mathord{\left/ {\vphantom {{\mathfrak{A}_n ,\mathbb{Z}} {p\mathbb{Z}}}} \right. \kern-\nulldelimiterspace} {p\mathbb{Z}}}} \right)$$ of the alternating groups $$\mathfrak{A}_n$$ for all integers n and i, and all odd primes p.

Ograniczanie wyników

2 Open Mathematics

1 Bogomolov F.

1 Burr M.

1 Böhning C.

1 2014

1 2012

Wyniki wyszukiwania

Asymptotic purity for very general hypersurfaces of ℙn × ℙn of bidegree (k, k)

Stable cohomology of alternating groups