Gallardo, Patricio; Pearlstein, Gregory; Schaffler, Luca; Zhang, Zheng Unimodal singularities and boundary divisors in the KSBA moduli of a class of Horikawa surfaces. (English) Zbl 1539.14063 Math. Nachr. 297, No. 2, 595-628 (2024). Reviewer: Sönke Rollenske (Marburg) MSC: 14J10 14D06 14E05 14D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Duff, T.; Telen, S.; Walker, E.; Yahl, T. Polyhedral homotopies in Cox coordinates. (English) Zbl 07793928 J. Algebra Appl. 23, No. 4, Article ID 2450073, 35 p. (2024). Reviewer: Vladimir P. Kostov (Nice) MSC: 13P15 14M25 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duff, Timothy; Leykin, Anton; Rodriguez, Jose Israel \(u\)-generation: solving systems of polynomials equation-by-equation. (English) Zbl 1531.65072 Numer. Algorithms 95, No. 2, 813-838 (2024). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65H20 65H10 65H14 14Q65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Breiding, Paul; Çelik, Türkü Özlüm; Duff, Timothy; Heaton, Alexander; Maraj, Aida; Sattelberger, Anna-Laura; Venturello, Lorenzo; Yürük, Oǧuzhan Nonlinear algebra and applications. (English) Zbl 1522.13040 Numer. Algebra Control Optim. 13, No. 1, 81-116 (2023). Reviewer: Hanieh Keneshlou (Leipzig) MSC: 13P25 14Q20 62R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yahl, Thomas Computing Galois groups of Fano problems. (English) Zbl 1525.14072 J. Symb. Comput. 119, 81-89 (2023). MSC: 14Q65 14Q15 12F10 14N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burr, M.; Sottile, F.; Walker, E. Numerical homotopies from Khovanskii bases. (English) Zbl 1519.14047 Math. Comput. 92, No. 343, 2333-2353 (2023). Reviewer: Gema Maria Diaz Toca (Murcia) MSC: 14M25 68W30 65H10 65H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duff, Timothy; Ruddy, Michael Signatures of algebraic curves via numerical algebraic geometry. (English) Zbl 1507.14047 J. Symb. Comput. 115, 452-477 (2023). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 14H50 65H20 14Q05 53A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duff, Timothy; Hein, Nickolas; Sottile, Frank Certification for polynomial systems via square subsystems. (English) Zbl 1476.14103 J. Symb. Comput. 109, 367-385 (2022). Reviewer: Juan C. Migliore (Notre Dame) MSC: 14Q65 65G20 65H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leykin, Anton; Del Campo, Abraham Martín; Sottile, Frank; Vakil, Ravi; Verschelde, Jan Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm. (English) Zbl 1468.14093 Math. Comput. 90, No. 329, 1407-1433 (2021). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14N15 65H10 14Q65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hauenstein, Jonathan D.; Rodriguez, Jose Israel Multiprojective witness sets and a trace test. (English) Zbl 1448.65054 Adv. Geom. 20, No. 3, 297-318 (2020). Reviewer: Luca Chiantini (Siena) MSC: 65H20 14Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kosta, Dimitra; Kubjas, Kaie Maximum likelihood estimation of symmetric group-based models via numerical algebraic geometry. (English) Zbl 1410.92077 Bull. Math. Biol. 81, No. 2, 337-360 (2019). MSC: 92D15 14P99 92-04 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Angelini, Elena; Galuppi, Francesco; Mella, Massimiliano; Ottaviani, Giorgio On the number of Waring decompositions for a generic polynomial vector. (English) Zbl 1390.14158 J. Pure Appl. Algebra 222, No. 4, 950-965 (2018). Reviewer: Luca Chiantini (Siena) MSC: 14N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leykin, Anton; Plaumann, Daniel Determinantal representations of hyperbolic curves via polynomial homotopy continuation. (English) Zbl 1393.14055 Math. Comput. 86, No. 308, 2877-2888 (2017). Reviewer: Nelly Villamizar (Linz) MSC: 14Q05 14Q99 65F40 90C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krone, Robert; Leykin, Anton Numerical algorithms for detecting embedded components. (English) Zbl 1357.13030 J. Symb. Comput. 82, 1-18 (2017). Reviewer: Amir Hashemi (Isfahan) MSC: 13P15 14Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martín del Campo, Abraham; Rodriguez, Jose Israel Critical points via monodromy and local methods. (English) Zbl 1365.14003 J. Symb. Comput. 79, Part 3, 559-574 (2017). Reviewer: Noémie Combe (Marseille) MSC: 14-XX 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Tianran; Lee, Tsung-Lin; Li, Tien-Yien Mixed cell computation in HOM4ps. (English) Zbl 1365.13047 J. Symb. Comput. 79, Part 3, 516-534 (2017). Reviewer: Thomas Kahle (Magdeburg) MSC: 13P15 68W10 52B55 65Y05 65Y20 05C85 14Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Hauenstein, Jonathan D. (ed.); Sommese, Andrew J. (ed.) Foreword. What is numerical algebraic geometry? (English) Zbl 1360.00098 J. Symb. Comput. 79, Part 3, 499-507 (2017). MSC: 00B15 14-06 65-06 14Q99 65H10 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Leykin, Anton Polynomial homotopy continuation in Macaulay2. (English) Zbl 1365.68499 ACM Commun. Comput. Algebra 50, No. 3, 113-116 (2016). MSC: 68W30 14-04 14F35 × Cite Format Result Cite Review PDF Full Text: DOI
Beltrán, Carlos; Leykin, Anton Robust certified numerical homotopy tracking. (English) Zbl 1267.14075 Found. Comput. Math. 13, No. 2, 253-295 (2013). Reviewer: Hang Lau (Montréal) MSC: 14Q20 65H20 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leykin, Anton Numerical algebraic geometry. (English) Zbl 1311.14057 J. Softw. Algebra Geom. 3, 5-10 (2011). MSC: 14Q99 68N01 13P15 65D99 65Y15 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Guan, Yun; Verschelde, Jan Sampling algebraic sets in local intrinsic coordinates. (English) Zbl 1236.14052 Comput. Math. Appl. 62, No. 10, 3706-3721 (2011). MSC: 14Q15 14P10 65H99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv