Author

Kapil Khandelwal

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Preprint Oct 2026

Sumsets regularity versus Castelnuovo-Mumford regularity for monomial curves

Let $A=\{0=a_0<a_1<\dots<a_{k-1}=d\}$ be integers with greatest common divisor $1$, let $C_A$ be the projective monomial curve they define, and let $\mathrm{reg}(A)$ be the Castelnuovo-Mumford regularity of its coordinate ring. Gimenez and Gonz\'alez-S\'anchez proved $\mathrm{reg}(A)\le\sigma(A)+1$ for the sumsets regu...

Prashant Chaudhary, Kapil Khandelwal · 0 citations

Preprint Sep 2026

Inverse knapsack at two capacities: which pairs of value-cardinality hulls are realizable?

One item set evaluated at two capacities $R<D$ produces two concave hulls of optimal value against cardinality. We ask which prescribed pairs arise. Exchange arguments give a necessary system on vertex witnesses, exchange closure (EC), whose scalar consequences form the linear closure. We exhibit a pair satisfying ever...

Prashant Chaudhary, Kapil Khandelwal · 0 citations

Preprint Sep 2026

Trigger Timing, Deadline Readiness, and Event-Aligned Accounting for Dynamic Ad Insertion

Dynamic ad insertion comparisons can conflate trigger, reach, readiness, playback, billability and measurement even when the accounting is arithmetically correct. We separate these events with an observed-event ledger, a candidate-invariant reference deadline and pod-level contribution accounting. The deadline rule is...

Prashant Chaudhary, Kapil Khandelwal · 0 citations