The Schwartz-Hilbert variety.

Hilbert Polynomials and the Degree of a Projective Variety

If X ⊂ P is an irreducible projective variety, then the homogeneous coordinate ring Γ(X) has a natural grading, and it is reasonable to ask how the size of the graded components Γ(X)m varies with m. Geometrically, this is tantamount to asking how many hypersurfaces of each degree m contain X, for such a hypersurface is given by a homogeneous polynomial of degree m in I(X)– that is, an element o...

Marc Schwartz

LFA-1 activation plays a major role in reducing the velocity of rolling leukocytes and causing firm adhesion to the endothelium. The signaling cascades that cause LFA-1 activation during this process have been described through mostly correlative experiments, but the precise occurrence and location of LFA-1 activation in response to specific signals has not been directly shown. Tim Springer’s g...

Twins' IQs: a reply to Schwartz and Schwartz.

It is argued that the criticisms by Schwartz and Schwartz of Jensen's analysis of IQ data on monozygotic twins reared apart fall down on two central points, methodological and theoretical: (a) Valid inferences concerning the broad heritability of intelligence can be drawn from analysis of the combined data from several independent studies of MZ twins reared apart, even though the groups differ ...

The Schwartz space and the Fourier transform

Schwartz 1..8

Although various databases have been established that are designed to compile an ever-growing list of protein phosphorylation sites in plants and animals, no such repository exists for viruses. Here, we developed the viral posttranslational modification (virPTM) database, which contains a comprehensive list of 329 accurately localized phosphorylation sites in proteins from 52 human viruses publ...