Study on Large Flare Stacks (Part 2)

The Landing Flare of Large Transport

Part Iii Seminar (lent Term): Moduli Stacks of Vector Bundles

Let X be a smooth projective curve over C (you can think of X as a Riemann surface in the analytic setting if you wish) throughout. Then there exists a smooth variety PicX over C whose C-points are the isomorphism classes of line bundles on X. More generally, for any scheme (variety) S over C, the set HomC(S,PicX) corresponds to a sheafification of the line bundles on the family of curves X ×S ...

On Quotient Stacks

A natural problem in algebraic geometry is the formation of quotients. This is particularly important in the theory of moduli, where many moduli spaces are naturally constructed as quotients of parameter spaces by linear algebraic groups. Examples of quotient moduli spaces include moduli spaces of curves, stable maps and stable vector bundles (with fixed determinant). Unfortunately, the quotien...

Sheaves on Artin Stacks

We develop a theory of quasi–coherent and constructible sheaves on algebraic stacks correcting a mistake in the recent book of Laumon and Moret-Bailly. We study basic cohomological properties of such sheaves, and prove stack–theoretic versions of Grothendieck’s Fundamental Theorem for proper morphisms, Grothendieck’s Existence Theorem, Zariski’s Connectedness Theorem, as well as finiteness Theo...

On Bridges and Stacks.

Methods Inf Med 2016; 55: 299–300 http://dx.doi.org/10.3414/ME16-03-0002 received: July 11, 2016 accepted in revised form: July 11, 2016 epub ahead of print: July 20, 2016 Biomedical and Health Informatics have become important disciplines for medicine and the health sciences. To remain re levant, the focus of Biomedical and Health Informatics on research and practice as well as translational m...