This paper attempts to provide an analogue of the Novikov conjecture for algebraic (or Kähler) manifolds. Inter alia, we prove a conjecture of Rosenberg’s on the birational invariance of higher Todd genera. We argue that in the algebraic geometric setting the Novikov philosophy naturally includes non-birational mappings.

Article history: Received 28 July 2014 Accepted 13 March 2015 Available online 17 March 2015 MSC: 13C14 14N10 14H99 14Q05 05C20

It has recently become apparent that the elliptic genera of K3 surfaces (and their symmetric products) are intimately related to the Igusa cusp form of weight ten. In this contribution, I survey this connection with an emphasis on string theoretic viewpoints.

This paper concerns the asymptotic behavior toward rarefaction waves of the solution of a genera) 2 x 2 hyperbolic conservation laws with positive viscosity. We prove that if the initial data is close to a constant state and its values at + a3 lie on the kth rarefaction curve for the corresponding hyperbolic conservation laws, then the solution tends as I + co to the rarefaction wave determined...

In this paper, we show explicitly the classes of elliptic and hyperelliptic curves of low genera dened over extension elds, which have weak coverings , i.e. their Weil restrictions can be attacked by either index calculus attacks to hyperelliptic curves or Diem's recent attack to non-hyperelliptic curves. In particular, we show how to construct such c o v erings from these curves and analyze de...

It has recently become apparent that the elliptic genera of K3 surfaces (and their symmetric products) are intimately related to the Igusa cusp form of weight ten. In this contribution, I survey this connection with an emphasis on string theoretic viewpoints.

an updated checklist of the herpetofauna of iran is presented based on records of amphibian and reptile species whose presence has been confirmed in iran as a result of extensive field expeditions, examination of herpetological collections, literature review, and personal communications from researchers. the herpetofauna of iran consists of 13 species and five subspecies of frogs and toads belo...

We show that for smooth complex projective varieties the most general combinations of chern numbers that are invariant under the K-equivalence relation consist of the complex elliptic genera. §