Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Kapil H. Paranjape"'
Autor:
Kapil H. Paranjape
Publikováno v:
Resonance. 25:1045-1053
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a29db3bbd64734a5cfa74676039305d8
https://doi.org/10.1007/s12045-020-1017-8
https://doi.org/10.1007/s12045-020-1017-8
Autor:
Kapil H. Paranjape
Publikováno v:
Resonance. 20:500-505
A very brief introduction to Grothendieck’s concepts of algebraic schemes and algebraic spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a4e33ca25cce4329237f4c0f7f724b91
https://doi.org/10.1007/s12045-015-0209-0
https://doi.org/10.1007/s12045-015-0209-0
Autor:
Kapil H. Paranjape
Publikováno v:
Resonance. 20:491-499
M S Narasimhan’s article in this issue on page 482 contains several mathematical terms. In this glossary, we try to briefly explain some of them.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9983ade51bcb7cee453ea9dcfbf18209
https://doi.org/10.1007/s12045-015-0208-1
https://doi.org/10.1007/s12045-015-0208-1
Given a holomorphic newform $f$ of weight $k$ and with rational coefficients, a question of Mazur and van Straten asks if there is an associated Calabi-Yau variety $X$ over ${\mathbb Q}$ of dimension $k-1$ such that the $\ell$-adic Galois representat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b8181cc68d25286020406f3091341062
https://doi.org/10.1017/cbo9781316106877.019
https://doi.org/10.1017/cbo9781316106877.019
Autor:
Kapil H. Paranjape
Publikováno v:
Proceedings Mathematical Sciences. 112:383-391
A result of Belyi can be stated as follows. Every curve defined over a number field can be expressed as a cover of the projective line with branch locus contained in a rigid divisor. We define the notion of geometrically rigid divisors in surfaces an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dba40f1b7850b88447e5a4fa11e8943e
https://doi.org/10.1007/bf02829791
https://doi.org/10.1007/bf02829791
Autor:
Vishwambhar Pati, Kapil H. Paranjape
Publikováno v:
Proceedings Mathematical Sciences. 109:257-270
The Seiberg-Witten monopole equations, and a new invariant for 4-manifolds which results from these equations, are introduced in this paper.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4a445956faca0ea6baad2243c860e62
https://doi.org/10.1007/bf02843530
https://doi.org/10.1007/bf02843530
Autor:
N. Mukunda, Kapil H. Paranjape
Publikováno v:
Resonance. 4:1-5
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6fb26874f36bb7f956e36a600068528e
https://doi.org/10.1007/bf02834315
https://doi.org/10.1007/bf02834315
Autor:
Kapil H. Paranjape, Vasudevan Srinivas
Publikováno v:
Resonance. 4:71-77
We attempt an elementary exposition of the Weil conjectures. There are numerous references to articles that have appeared earlier inResonance which the reader might find useful to follow up.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5bf18b6c878c04e2ae91a99098080246
https://doi.org/10.1007/bf02834322
https://doi.org/10.1007/bf02834322
Autor:
Kapil H. Paranjape
Publikováno v:
Journal of Algebra. 186:793-806
We construct a hierarchy of spectral sequences for a filtered complex under a left-exact functor. As applications we prove (1) the existence of a Leray spectral sequence for de Rham cohomology, (2) the equivalence of this sequence with the “usual
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc217c7dabdec612413be76f9ec1aa0e
https://doi.org/10.1006/jabr.1996.0395
https://doi.org/10.1006/jabr.1996.0395
Autor:
Kapil H. Paranjape
Publikováno v:
Resonance. 1:28-33
In this concluding article of the series the author gives a brief overview of some modern aspects of geometry-Topology and Algebraic Geometry. The subject is now so vast that it is best to learn about it from the excellent books available-some of whi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::92fa5bccc0b2541f862a0628120e54d7
https://doi.org/10.1007/bf02837020
https://doi.org/10.1007/bf02837020