Ravi Shanker (1941-2017)

The Transportation Primitive Ravi

2009 winner: Ravi Desai.

We are pleased to announce that the winner of the 2009 JCS Prize is Ravi Desai, for his paper entitled ‘Cell polarity triggered by cell-cell contact via E-cadherin’ (Desai et al., 2009). The $1000 prize is awarded annually to the first author of the paper that is judged by the Editors and Editorial Board to be the best published in the Journal that year. To be considered for the prize, the firs...

Schistosomiasis By Ravi Chavali

Etiologic Agent Schistosomiasis is a disease caused by parasitic worm of genus Schistosoma [1]. It belongs to phylum Platyhelminthes, class Trematoda and genus Schistosoma [2]. Most human infections are caused by the three species: S. mansoni, S. haematobium, and S. japonicum [3]. There are two more species S. intercalatum and S. mekongi known to cause Schistosomiasis [3]. The most infections c...

Intersection Theory Class 19 Ravi

We defined the Grothendieck groups KX and K0X. They are vector bundles, respectively coherent sheaves, modulo the relation [E] = [E ] + [E ]. We have a pullback on K: f : KX → KY. KX is a ring: [E] · [F] = [E ⊗ F]. We have a pushforward on K0: f∗[F ] = ∑ i≥0(−1) [Rf∗F ]. We obviously have a homomorphism KX → K0X. K0X is aK X-module: KX⊗K0X → X is given by [E] · [F ] = [E⊗ F ]. Unproved fact: If...

Intersection Theory Class 8 Ravi

1.1. Crash course in blowing up. Last time I began to talk about blowing up. Let X be a scheme, and I ⊂ OX a sheaf of ideals on X. (Technical requirement automatically satisfied in our situation: I should be a coherent sheaf, i.e. finitely generated.) Here is the “universal property” definition of blowing-up. Then the blow-up of OX along I is a morphism π : X̃ → X satisfying the following univer...