Changeset 84cd3d in git
- Timestamp:
- May 21, 2014, 5:23:02 PM (9 years ago)
- Branches:
- (u'spielwiese', '8e0ad00ce244dfd0756200662572aef8402f13d5')
- Children:
- 74608b9e2a1bb1a566b1d7821bab3dd6788ab8f0
- Parents:
- 97cc983dc88957dfbc956bcac76352b37abfb290
- Location:
- Singular/LIB
- Files:
-
- 8 edited
Legend:
- Unmodified
- Added
- Removed
-
Singular/LIB/dmodapp.lib
r97cc98 r84cd3d 47 47 48 48 49 R eferences:49 REFERENCES: 50 50 @* (SST) Saito, Sturmfels, Takayama 'Groebner Deformations of Hypergeometric 51 51 Differential Equations', Springer, 2000 -
Singular/LIB/dmodvar.lib
r97cc98 r84cd3d 26 26 sum(k=1 to k=r) P_k*f_k*F^s = bs*F^s holds in R[1/F]*F^s. 27 27 28 R eferences:28 REFERENCES: 29 29 (BMS06) Budur, Mustata, Saito: Bernstein-Sato polynomials of arbitrary varieties (2006). 30 30 @* (ALM09) Andres, Levandovskyy, Martin-Morales: Principal Intersection and Bernstein-Sato -
Singular/LIB/ellipticcovers.lib
r97cc98 r84cd3d 32 32 The key function computing the numbers N_(G,b) and N_(G,d) is gromovWitten. 33 33 34 R eferences:34 REFERENCES: 35 35 36 36 [BBM] J. Boehm, A. Buchholz, H. Markwig: Tropical mirror symmetry for elliptic curves, arXiv:1309.5893 (2013). -
Singular/LIB/fpadim.lib
r97cc98 r84cd3d 44 44 presented algebras. 45 45 46 R eferences:46 REFERENCES: 47 47 48 48 @* [ufna] Ufnarovskij: Combinatorical and asymptotic methods in algebra, 1990 -
Singular/LIB/locnormal.lib
r97cc98 r84cd3d 96 96 In fact, U and d are returned as an ideal and a polynomial of the base ring R. 97 97 98 References: 99 98 REFERENCES: 100 99 [1] Janko Boehm, Wolfram Decker, Santiago Laplagne, Gerhard Pfister, Stefan Steidel, 101 100 Andreas Steenpass: Parallel algorithms for normalization, http://arxiv.org/abs/1110.4299, 2011.@* -
Singular/LIB/rootsmr.lib
r97cc98 r84cd3d 12 12 using a pseudorandom polynomial (nrRootsProbab). It also includes a 13 13 command to verify the correctness of the pseudorandom answer. 14 References: Basu, Pollack, Roy, \"Algorithms in Real Algebraic14 REFERENCES: Basu, Pollack, Roy, \"Algorithms in Real Algebraic 15 15 Geometry\", Springer, 2003. 16 16 -
Singular/LIB/rootsur.lib
r97cc98 r84cd3d 14 14 application of the aforesaid theorems and some functions 15 15 to determine whether a given polynomial is univariate. 16 References: Basu, Pollack, Roy, \"Algorithms in Real Algebraic16 REFERENCES: Basu, Pollack, Roy, \"Algorithms in Real Algebraic 17 17 Geometry\", Springer, 2003. 18 18 -
Singular/LIB/signcond.lib
r97cc98 r84cd3d 8 8 OVERVIEW: Routines to determine the number of solutions of a multivariate 9 9 polynomial system which satisfy a given sign configuration. 10 References: Basu, Pollack, Roy, \"Algorithms in Real Algebraic10 REFERENCES: Basu, Pollack, Roy, \"Algorithms in Real Algebraic 11 11 Geometry\", Springer, 2003. 12 12
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