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| name = Ehud de Shalit | image = De shalit goren.jpg ...

...{nowrap|''H''²(''X'', '''Z''')}}. By [[Hodge theory]], the [[de Rham cohomology]] group ''H''²(''X'', '''C''') decomposes as a direct ...e that ''C''_''t'' is a pencil of curves on ''X''. Each of these curves has a [[Jacobian variety]] ''JC''_''t'' (if a curve is singular, ...

| image3 = Koch quadratic L7 curves 0-2.svg | caption6 = Quadratic island formed using curves with a different generator{{efn|name=not}} ...

...ablished a new special case of the Ogus conjecture concerning cycles in de Rham cohomology of abelian varieties. She has shown that any abelian surface wit ...

...dor J. |last4=Peternell |first4=Thomas |journal=Publications Mathématiques de l'IHÉS |volume=114 |pages=87–169 |arxiv=1003.2913 |s2cid=115177340 |url=htt .../Proceedings/ICM1978.2/ICM1978.2.ocr.pdf|title=Unstable vector bundles and curves on surfaces |journal=Proceedings of the International Congress of Mathemati ...

...n 1997 with a thesis entitled "The geometry of the moduli space of pointed curves, the tensor product in the theory of Frobenius manifolds and the explicit K "Higher Weil-Petersson Volumes of Moduli Spaces of Stable n-pointed Curves". ...

==Sheaf cohomology of plane-curves== === Computing sheaf cohomology of curves === ...

* 1722 – [[Abraham de Moivre]] states [[de Moivre's formula]] connecting [[trigonometric function]]s and [[complex num * 1931 – [[Georges de Rham]] develops theorems in [[cohomology]] and [[characteristic class]]es, ...

...ection]]s), there are filtrations on the [[logarithmic form|logarithmic de Rham complex]] <math>\Omega_X^\bullet(\log D)</math> given by<blockquote><math>\ ...

...TEREFDeniger1990|1990]], Deninger extended this result to certain elliptic curves considered by Shimura, at all ''s''≥2. Deninger & Nart ([[#CITEREF—Nart1995 ===Vector bundles on ''p''-adic curves=== ...

...ces: for the curve ''γ'' can be uniformly approximated by piecewise smooth curves ''δ'' so close that {{nowrap|''δ''(''K''_''i'') ⊂ ''U''<sub>''i'' ...n be broken up as a superposition of finitely many piecewise smooth Jordan curves. The integral over each of these is zero, so their sum, the integral over ' ...

...oncerns accumulation of quantities and the areas under piece-wise constant curves. These two points of view are related to each other by the fundamental theo *[[Élie Cartan]], [[Georges de Rham]]: the notion of differential form, the [[exterior derivative]] as a coordi ...

...presents an essential contribution to another algebra which aimed to study curves by means of equations, thus inaugurating the beginning of algebraic geometr * 1464&nbsp;– [[Regiomontanus]] writes ''De Triangulis omnimodus'' which is one of the earliest texts to treat trigonom ...