9 Period Map of a Certain K 3 Family with an S 5 - Action

Topological Centers of Certain Banach Module Actions

On the Family of Pentagonal Curves of Genus 6 and Associated Modular Forms on the Ball

Abstract. In this article we study the inverse of the period map for the family F of complex algebraic curves of genus 6 equipped with an automorphism of order 5. This is a family with 2 parameters, and is fibred over a certain type of Del Pezzo surace. The period satisfies the hypergeometric differential equation for Appell’s F1( 3 5 , 3 5 , 2 5 , 6 5 ) of two variables after a certain normali...

Almost n-Multiplicative Maps‎ between‎ ‎Frechet Algebras

For the Fr'{e}chet algebras $(A, (p_k))$ and $(B, (q_k))$ and $n in mathbb{N}$, $ngeq 2$, a linear map $T:A rightarrow B$ is called textit{almost $n$-multiplicative}, with respect to $(p_k)$ and $(q_k)$, if there exists $varepsilongeq 0$ such that$$q_k(Ta_1a_2cdots a_n-Ta_1Ta_2cdots Ta_n)leq varepsilon p_k(a_1) p_k(a_2)cdots p_k(a_n),$$for each $kin mathbb{N}$ and $a_1, a_2, ldots, a_nin A$. Th...

The existence of β9t+3 in stable homotopy of spheres at the prime three

Let βs be the generator of the second line of the E2-term of the Adams-Novikov spectral sequence converging to the stable homotopy groups π∗(S) of spheres at the prime three. Ravenel conjectured that the generator βs survives to a homotopy element if and only if s ≡ 0, 1, 2, 3, 5, 6 mod 9. In [9], we proved the ‘only if’ part. In [1], Behrens and Pemmaraju showed that βs survives to a homotopy ...

ar X iv : m at h / 06 06 50 5 v 3 [ m at h . D G ] 1 9 A pr 2 00 8 CM STABILITY AND THE GENERALIZED FUTAKI INVARIANT II SEAN

The Mabuchi K-energy map is exhibited as a singular metric on the refined CM polarization of any equivariant family X p → S. Consequently we show that the generalized Futaki invariant is the leading term in the asymptotics of the reduced K-energy of the generic fiber of the map p. Properness of the K-energy implies that the generalized Futaki invariant is strictly negative.