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pro vyhledávání: '"Colley, Susan Jane"'
This is the first of a pair of papers devoted to the local invariants of Goursat distributions. The study of these distributions naturally leads to a tower of spaces over an arbitrary surface, called the monster tower, and thence to connections with
Externí odkaz:
http://arxiv.org/abs/2308.09101
Autor:
Colley, Susan Jane, Kennedy, Gary
Publikováno v:
SIGMA 14 (2018), 031, 16 pages
Using the monster/Semple tower construction, we study the structure of the Cartan prolongation of the family $x_1x_2 = t$ of plane curves with nodal central member.
Externí odkaz:
http://arxiv.org/abs/1710.02863
Publikováno v:
Michigan Math. J. 66 (2017) 855-866
The monster tower is a tower of spaces over a specified base; each space in the tower is a parameter space for curvilinear data up to a specified order. We describe and analyze a natural stratification of these spaces.
Comment: 13 pages, minor r
Comment: 13 pages, minor r
Externí odkaz:
http://arxiv.org/abs/1606.07931
Autor:
Colley, Susan Jane
Publikováno v:
The American Mathematical Monthly, 2019 Dec 01. 126(10), 959-960.
Externí odkaz:
https://www.jstor.org/stable/48661438
Autor:
Colley, Susan Jane
Publikováno v:
The American Mathematical Monthly, 2019 Jan 01. 126(1), 3-3.
Externí odkaz:
https://www.jstor.org/stable/48661353
We study a class of graphs with finitely many edges in order to understand the nature of the formal logarithm of the generating series for Severi degrees in elementary combinatorial terms. These graphs are related to floor diagrams associated to plan
Externí odkaz:
http://arxiv.org/abs/1303.5308
Autor:
Colley, Susan Jane
Publikováno v:
The American Mathematical Monthly, 2018 Dec 01. 125(10), 956-957.
Externí odkaz:
https://www.jstor.org/stable/48661351
We use stable maps, and their stable lifts to the Semple bundle variety of second-order curvilinear data, to calculate certain characteristic numbers for rational plane curves. These characteristic numbers involve first-order (tangency) and second-or
Externí odkaz:
http://arxiv.org/abs/math/9909129
Autor:
Colley, Susan Jane
Publikováno v:
The College Mathematics Journal, 2003 Sep 01. 34(4), 264-269.
Externí odkaz:
https://www.jstor.org/stable/3595762
Autor:
Colley, Susan Jane, Kennedy, Gary
Using the Semple bundle construction, we derive an intersection-theoretic formula for the number of simultaneous contacts of specified orders between members of a generic family of degree $d$ plane curves and finitely many fixed curves. The contacts
Externí odkaz:
http://arxiv.org/abs/alg-geom/9212003