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008			150903s2007 xxu| o |||| 0|eng d
020			_a9780817645786 _99780817645786
024	7		_a10.1007/9780817645786 _2doi
035			_avtls000333562
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040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA351
100	1		_aMumford, David. _eautor _9306355
245	1	0	_aTata Lectures on Theta II / _cby David Mumford.
264		1	_aBoston, MA : _bBirkhäuser Boston : _bImprint: Birkhäuser, _c2007.
300			_axiv, 272 páginas 21 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aModern Birkhäuser Classics
500			_aSpringer eBooks
505	0		_aAn Elementary Construction of Hyperelliptic Jacobians -- Review of background in algebraic geometry -- Divisors on hyperelliptic curves -- Algebraic construction of the Jacobian of a hyperelliptic curve -- The translation-invariant vector fields -- Neumann’s dynamical system -- Tying together the analytic Jacobian and algebraic Jacobian -- Theta characteristics and the fundamental Vanishing Property -- Frobenius’ theta formula -- Thomae’s formula and moduli of hyperelliptic curves -- Characterization of hyperelliptic period matrices -- The hyperelliptic p-function -- The Korteweg-deVries dynamical system -- Fay’s Trisecant Identity for Jacobian theta functions -- The Prime Form E(x,y). -- Fay’s Trisecant Identity -- Corollaries of the identity -- Applications to solutions of differential equations -- The Generalized Jacobian of a Singular Curve and its Theta Function -- Resolution of algebraic equations by theta constants -- Resolution of algebraic equations by theta constants.
520			_aThe second in a series of three volumes surveying the theory of theta functions, this volume gives emphasis to the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg-de-Vries equations as well as other non-linear differential equations of mathematical physics. This book presents an explicit elementary construction of hyperelliptic Jacobian varieties and is a self-contained introduction to the theory of the Jacobians. It also ties together nineteenth-century discoveries due to Jacobi, Neumann, and Frobenius with recent discoveries of Gelfand, McKean, Moser, John Fay, and others. A definitive body of information and research on the subject of theta functions, this volume will be a useful addition to individual and mathematics research libraries.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780817645694
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-4578-6 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c281073 _d281073