Triple
T10388784
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Weil conjectures |
E244835
|
entity |
| Predicate | provedUsing |
P27215
|
FINISHED |
| Object | Lefschetz trace formula |
E262120
|
NE FINISHED |
Disambiguation candidates (1 decision)
The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Lefschetz trace formula Context triple: [Weil conjectures, provedUsing, Lefschetz trace formula]
-
A.
Grothendieck–Ogg–Shafarevich formula
The Grothendieck–Ogg–Shafarevich formula is a result in arithmetic geometry that relates the Euler characteristic of an ℓ-adic sheaf on a curve over a finite field to local invariants such as conductors and ramification data.
-
B.
Lefschetz fixed-point theorem
chosen
The Lefschetz fixed-point theorem is a fundamental result in algebraic topology that relates the number of fixed points of a continuous map on a topological space to traces of the induced maps on its homology groups.
-
C.
Weil conjectures
The Weil conjectures are a set of deep statements about the zeta functions of algebraic varieties over finite fields that guided the development of modern algebraic geometry and were ultimately proved using étale cohomology.
-
D.
Grothendieck–Riemann–Roch theorem
The Grothendieck–Riemann–Roch theorem is a fundamental result in algebraic geometry that generalizes the classical Riemann–Roch theorem by relating pushforwards in K-theory to pushforwards in cohomology via characteristic classes.
-
E.
Atiyah–Bott fixed-point theorem
The Atiyah–Bott fixed-point theorem is a fundamental result in equivariant cohomology that expresses global invariants, such as indices of elliptic operators, in terms of local data at the fixed points of a group action.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69d381b5116081908d85227bab6d3c0c |
elicitation | completed |
| NER | batch_69d4fb99ef088190b64661b2f42c320e |
ner | completed |
| NED1 | batch_69d795b2423c8190a7c0e9b6fcbcc6db |
ned_source_triple | completed |
Created at: April 6, 2026, 12:05 p.m.