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Topology of Algebraic Curves - An Approach via Dessins d'Enfants (Hardcover)
Loot Price: R5,857
Discovery Miles 58 570
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Topology of Algebraic Curves - An Approach via Dessins d'Enfants (Hardcover)
Series: De Gruyter Studies in Mathematics
Expected to ship within 12 - 17 working days
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This monograph summarizes and extends a number of results on the
topology of trigonal curves in geometrically ruled surfaces. An
emphasis is given to various applications of the theory to a few
related areas, most notably singular plane curves of small degree,
elliptic surfaces, and Lefschetz fibrations (both complex and
real), and Hurwitz equivalence of braid monodromy factorizations.
The approach relies on a close relation between trigonal
curves/elliptic surfaces, a certain class of ribbon graphs, and
subgroups of the modular group, which provides a combinatorial
framework for the study of geometric objects. A brief summary of
the necessary auxiliary results and techniques used and a
background of the principal problems dealt with are included in the
text. The book is intended to researchers and graduate students in
the field of topology of complex and real algebraic varieties.
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