Localizing Virtual Structure Sheaves by Cosections

Riemann-roch for Algebraic Stacks:iii Virtual Structure Sheaves and Virtual Fundamental Classes

In this paper we apply the Riemann-Roch and Lefschetz-Riemann-Roch theorems proved in our earlier papers to define virtual fundamental classes for the moduli stacks of stable curves in great generality and establish various formulae for them.

Structure sheaves of definable additive categories

Localizing colorectal cancer by colonoscopy.

HYPOTHESIS Colonoscopic localization of colorectal carcinoma is frequently inaccurate and unreliable. DESIGN Consecutive case series. SETTING Tertiary care teaching hospital. PATIENTS Three hundred fourteen consecutive patients undergoing surgical resection for colorectal cancer from January 1, 2000, to December 31, 2003. INTERVENTION Surgical resection for colorectal cancer. MAIN OUT...

Localizing proteins by tissue printing.

The simple technique of making tissue prints on appropriate substrate material has made possible the easy localization of proteins, nucleic acids, carbohydrates, and small molecules in a tissue-specific mode. Plant tissues can be used to produce prints revealing a remarkable amount of anatomical detail, even without staining, which might be used to record developmental changes over time. In thi...

Coherent Sheaves and Cohesive Sheaves

We consider coherent and cohesive sheaves of O–modules over open sets Ω ⊂ Cn. We prove that coherent sheaves, and certain other sheaves derived from them, are cohesive; and conversely, certain sheaves derived from cohesive sheaves are coherent. An important tool in all this, also proved here, is that the sheaf of Banach space valued holomorphic germs is flat. To Linda Rothschild on her birthday