共查询到20条相似文献,搜索用时 15 毫秒
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Ernst Kunz 《manuscripta mathematica》1975,15(1):91-108
Let X be a projective algebraic variety over of dimension d, reduced and irreducible. In this paper we propose a definition for differential forms w of degree d on X to be holomorphic at an arbitrary point of X (which may be a singular point). It will be shown that the holomorphic d-forms define a sheaf X, which coincides with the usual sheaf of holomorphic d-forms X in case X has no singularities. Moreover, X is isomorphic to the canonical sheaf of Grothendieck [5]:, (if X is a closed subvariety of n). Thus in the Serre duality theorem for projective varieties with singularities may be replaced by X. 相似文献
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Summary The best choice of co-ordinate systems in fire control computers depends not only upon the type of computing elements used, but also upon the formulae by which the geometric and ballistic computations are to be done. By carefully selecting co-ordinate systems at every point of the computing process, numerous simplifications may be made which will increase both accuracy and reliability of the instrument. 相似文献
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Alfred Moessner 《Proceedings Mathematical Sciences》1939,10(4):296-306
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Ohne ZusammenfassungAnmerkung der Redaktion. Die Arbeit wurde am 25. Dezember 1943 eingereicht, vor dem Druck jedoch umgearbeitet, um den Zusammenhang mit nachfolgenden Arbeiten zu verdeutlichen und diese vorzubereiten. 相似文献
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Armin Saam 《Journal of Geometry》1988,32(1-2):86-130
We investigate several series of closure theorems which can be considered as properties of projectivities in general projective planes. Most of them postulate that the projectivity = [11R213] ... [12n-1R011] (indices modulo 2n) or 2 should be the identity if the lines 1i or the points Rj satisfy special incidence conditions. This way of construction leads to some generalizations of well-known propositions as for example the great and little Desarguesian, the Pappian theorem and some other interesting cases. We prefer the synthetic method to determine the class of planes in which these closure theorems hold. In one case the analytic method only seems to be successful. 相似文献
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Ohne ZusammenfassungWährend der Vorbereitung dieser Arbeit wurden beide Autoren unterstützt durch Directorate of Mathematical Sciences, AFOSR, European Office of Aerospace Research, US Air Force, Grant No. AF-EOAR-62-40. 相似文献
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Ohne ZusammenfassungHerrnGeorg Faber zum 80. Geburtstag am 5. Aril 1957 gewidmet 相似文献
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Friedrich Wilhelm Knöller 《Monatshefte für Mathematik》1979,88(1):7-26
LetX be the quotient of a bounded symmetric domainD by an arithmetically defined subgroup of all analytic automorphisms ofD and letX
* be theSatake-compactification ofX. In the present note, the multiplicities of the local rings of the zero-dimensional boundary components ofX
* will be computed in a completely elementary manner using reduction-theory in selfadjoint homogeneous cones. 相似文献
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Dr. G. Schlichting 《Monatshefte für Mathematik》1980,90(4):311-313
Generalizing results in [1], [3], [5], and [7] it is shown that the algebra generated by the quasi-regular representation of a discrete groupG onl
2 (G/H) satisfies a standard polynomial identity if and only if (G) contains an abelian normal subgroup of finite index. An analogon for topological groups is also proved. 相似文献
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Ohne Zusammenfassung 相似文献