منابع مشابه
Frobenius Map for Quintic Threefolds
We calculate the matrix of the Frobenius map on the middle dimensional cohomology of the one parameter family that is related by mirror symmetry to the family of all quintic threefolds.
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has been intriguing algebraic and symplectic geometers since the beginning of the decade. The first proof of this formula was given two years ago in the extensive paper [9] among a number of other theorems on equivariant Gromov – Witten theory. Several authors managed to adjust the approach of that paper to complete intersections in homogeneous Kähler spaces [13, 2, 14], in toric manifolds [11,...
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The famous Frobenius characteristic map is a bijection from the space of characters of a symmetric group S n to the space of homogeneous symmetric functions of degree n. In this note, we prove a formula for the inverse map. More precisely, we express the generating function for the values of an arbitrary virtual character of S n in terms of the symmetric function which is the Frobenius image of...
متن کاملDerivations of the Frobenius map
We prove that the theory of fields with a derivation of Frobenius has the model companion which is stable and admits elimination of quantifiers up to the level of the λ-functions. Along the way, we give new geometric axioms of DCFp.
متن کاملA Rational Map between Two Threefolds
In Remark 4.5 of [4] it is mentioned that there is a piece of the cohomology H(E) which has the same L-series as that of H3(Ṽ33). According to Tate’s conjecture there should be a correspondence between V33 and E . We give such a correspondence explicitly. Other relatives of these varieties are the fibered squares of the universal curves for Γ(3) and Γ0(9). In [8] and in the section 13 of [9] Sc...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2009
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnp024