Banerjee, Arindam; Goel, Kriti; Verma, J. K. On the Hilbert-Samuel coefficients of Frobenius powers of an ideal. (English) Zbl 07810092 Proc. Am. Math. Soc. 152, No. 4, 1501-1515 (2024). MSC: 13A30 13C14 13A35 13C15 13D40 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goel, Kriti; Maddox, Kyle; Taylor, William D. New versions of Frobenius and integral closure of ideals. arXiv:2410.10990 Preprint, arXiv:2410.10990 [math.AC] (2024). MSC: 13A35 13B22 13D40 × Cite Format Result Cite Full Text: arXiv OA License
Goel, Kriti; Mukundan, Vivek; Roy, Sudeshna; Verma, Jugal Algorithms for computing mixed multiplicities, mixed volumes, and sectional Milnor numbers. (English) Zbl 1525.13001 J. Softw. Algebra Geom. 13, 1-12 (2023). MSC: 13-04 13A30 13H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhardwaj, Om Prakash; Goel, Kriti; Sengupta, Indranath Affine semigroups of maximal projective dimension. (English) Zbl 1520.20115 Collect. Math. 74, No. 3, 703-727 (2023). MSC: 20M14 20M25 13A02 13D02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goel, Kriti; Mukundan, Vivek; Roy, Sudeshna; Verma, J. K. Computing mixed multiplicities, mixed volumes, and sectional Milnor numbers. arXiv:2307.10124 Preprint, arXiv:2307.10124 [math.AC] (2023). MSC: 13-04 13A30 13H15 × Cite Format Result Cite Full Text: arXiv
Goel, Kriti; Jeffries, Jack; Singh, Anurag K. Local cohomology of modular invariant rings. arXiv:2306.14279 Preprint, arXiv:2306.14279 [math.AC] (2023). MSC: 13A50 13D45 13B05 × Cite Format Result Cite Full Text: arXiv OA License
Bhardwaj, Om Prakash; Goel, Kriti; Sengupta, Indranath Affine semigroups of maximal projective dimension. (English) Zbl 1516.20127 Sémin. Lothar. Comb. 86B, Article 33, 10 p. (2022). Reviewer: Monica La Barbiera (Messina) MSC: 20M14 13F65 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Bhardwaj, Om Prakash; Goel, Kriti; Sengupta, Indranath On row-factorization relations of certain numerical semigroups. (English) Zbl 1514.20213 Int. J. Algebra Comput. 32, No. 7, 1275-1305 (2022). MSC: 20M14 20M13 13A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banerjee, Arindam; Goel, Kriti; Verma, J. K. Generalized Hilbert-Kunz function of the Rees algebra of the face ring of a simplicial complex. (English) Zbl 1489.13005 Baeth, Nicholas R. (ed.) et al., Commutative algebra. 150 years with Roger and Sylvia Wiegand. Combined proceedings: second international meeting on commutative algebra and related areas, SIMCARA, Universidade de São Paulo, São Carlos, Brazil, July 22–26, 2019 and AMS special session on commutative algebra. In celebration of the 150th birthday of Roger and Sylvia Wiegand, University of Wisconsin-Madison, Wisconsin, September 14–15, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 773, 207-224 (2021). MSC: 13A30 13D40 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goel, Kriti; Koley, Mitra; Verma, J. K. Hilbert-Kunz function and Hilbert-Kunz multiplicity of some ideals of the Rees algebra. (English) Zbl 1507.13004 Commun. Algebra 49, No. 7, 3066-3084 (2021). MSC: 13A30 13A35 13D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goel, Kriti; Verma, J. K.; Mukundan, Vivek Tight closure of powers of ideals and tight Hilbert polynomials. (English) Zbl 1478.13008 Math. Proc. Camb. Philos. Soc. 169, No. 2, 335-355 (2020). Reviewer: Florian Enescu (Atlanta) MSC: 13A35 13D40 13F55 13H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goel, Kriti; Mukundan, Vivek; Verma, J. K. On the vanishing of the normal Hilbert coefficients of ideals. (English) Zbl 1452.13020 J. Ramanujan Math. Soc. 35, No. 2, 121-138 (2020). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13D40 13A30 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Goel, Kriti; Gurjar, R. V.; Verma, J. K. Minkowski inequality and equality for multiplicity of ideals of finite length in Noetherian local rings. (English) Zbl 1451.13025 Dani, Shrikrishna G. (ed.) et al., Contributions in algebra and algebraic geometry. International conference on algebra, discrete mathematics and applications, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra, India, December 9–11, 2017. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 738, 33-56 (2019). Reviewer: Shreedevi K. Masuti (Dharwad) MSC: 13B22 13F30 13H15 14C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goel, Kriti; Roy, Sudeshna; Verma, J. K. Eakin-Sathaye-type theorems for joint reductions and good filtrations of ideals. (English) Zbl 1423.13044 Acta Math. Vietnam. 44, No. 3, 671-689 (2019). MSC: 13A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goel, Kriti; Patil, Dilip P.; Verma, Jugal Nullstellensätze and Applications. arXiv:1809.02818 Preprint, arXiv:1809.02818 [math.AC] (2018). × Cite Format Result Cite Full Text: arXiv OA License