In algebraic geometry, the Behrend function of a scheme X, introduced by Kai Behrend, is a constructible function
such that if X is a quasi-projective proper moduli scheme carrying a symmetric obstruction theory, then the weighted Euler characteristic
is the degree of the virtual fundamental class
of X, which is an element of the zeroth Chow group of X. Modulo some solvable technical difficulties (e.g., what is the Chow group of a stack?), the definition extends to moduli stacks such as the moduli stack of stable sheaves (the Donaldson–Thomas theory) or that of stable maps (the Gromov–Witten theory).
In algebraic geometry, the Behrendfunction of a scheme X, introduced by Kai Behrend, is a constructible function ν X : X → Z {\displaystyle \nu _{X}:X\to...
Gromov–Witten invariants and Donaldson–Thomas theory (cf. Behrendfunction.) He is also known for Behrend's formula, the generalization of the Grothendieck–Lefschetz...
he derived his protected status. Two years later his first son, Lehmann Behrend, was born and he built his first, modest abode in the Jewish quarter of...
New York: Routledge. Behrend 1996, pp. 161–162. Behrend 1996, pp. 162. Moriyama 1996, pp. 166. Moriyama 1996, pp. 167. Behrend 1996, pp. 167–169. Hinzler...
integration over it, is equal to the weighted Euler characteristic of the Behrendfunction of X. More recent (circa 2017) approaches do this type of construction...
trace formula Petersson trace formula Selberg trace formula Behrend's trace formula, or Behrend's fixed point formula a generalization of the Grothendieck–Lefschetz...
JP, Besse T, Grabensee B, Klein B, Eigler FW, Heemann U, Pichlmayr R, Behrend M, Vanrenterghem Y, Donck J, van Hooff J, Christiaans M, Morales JM, Andres...
derivative. The name "uracil" was coined in 1885 by the German chemist Robert Behrend, who was attempting to synthesize derivatives of uric acid. Originally...
October 31, 1941) is a professor of mathematics at Penn State Erie, The Behrend College, Pennsylvania. He is best known for being the author of a series...
titrations and the first instrument for volumetric analysis by Robert Behrend in 1883 while titrating chloride and bromide with HgNO3. This development...
\operatorname {Bun} _{G}(X)} when X is over a finite field, introduced by Behrend in 1993. It states: if G is a smooth affine group scheme with semisimple...
van der Ven PF, Hampe N, Hersch N, Vakeel P, Stadel D, Haas A, Saftig P, Behrends C, Fürst DO, Volkmer R, Hoffmann B, Kolanus W, Höhfeld J (March 2013)....
protein folliculin, also known as Birt–Hogg–Dubé syndrome protein, which functions as an inhibitor of Lactate Dehydrogenase-A and a regulator of the Warburg...
204.1281. doi:10.2460/javma.2004.225.1399. PMID 15552315. S2CID 1903272. Behrend, K.; Wegler, M. (1991). "Living with a Cat". The Complete Book of Cat Care:...
alkaloid found in some teas Uracil – purine nucleobase named by Robert Behrend who was attempting to synthesize derivatives of uric acid Metabolic myopathy...
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